Question

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7 pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies? (Round to the nearest cent, as needed.) $1.75 $2.06 $2.39 $3.99

Answer 1

1.75

Explanation:

Answer A

Answer 2

$1.75

Explanation:

Total spends on veggies and fruits by Chen = $28.70

Total pints of cut veggies bought = 5

Total pints of cut fruit bought = 7

Let 'v' be the cost of each pint of veggies bought and

'f' be the cost of each pint of fruit bought.

Cost for veggies =
`5 * v`

Cost of fruit =
`7 * f`

Total cost = Cost of veggies + Cost of fruit

Putting the values:

`28.7=5* v+7 * f\\`

Given that f = $2.85

Then v = ?

Putting value of in the above equation and finding the value of v:

`28.7=5* v+7 * 2.85\\\Rightarrow 28.7 = 5v + 19.95\\\Rightarrow 5v = 28.7 - 19.95\\\Rightarrow 5v = 8.75\\\Rightarrow v = $1.75`

So, the price of a pint of veggies,
`v = \$1.75`.